Solve each equation and check to make sure both solutions work<br> 2|5x-3|+10=4

IgorLugansk [536]

Answer:

#1 is 3x + 4 =-17 #2 is 3x =-21 #3 is x = -7 #4 is 2x + x +4 = -17

Step-by-step explanation:

#1 gives you the problem ready to be worked out. #2 all you need to do to finish it is divide both sides by 3. #3 the answer is already there. #4 You need to combine the like terms then solve the problem.

3 0

2 years ago

Tell whether the lines through the given points are parallel, perpendicular, or neither?

Paha777 [63]

$Slope\,\,1=\frac{-1}{slope\,\,2}$

So, Both lines are perpendicular

Step-by-step explanation:

We need to identify if lines:

Line 1: (8,12)(7,-5)

Line 2: (-9,3)(8,2)

are parallel, perpendicular, or neither?

Lines are parallel if they have same slopes i.e slope 1= slope2
Lines are perpendicular if their slopes are negative inverses of each other i.e slope 1= -1/slope 2

The formula used to find slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Finding Slope of Line 1:

The points are: Line 1: (8,12)(7,-5)

$x_1=8, y_1=12, x_2=7,y_2=-5$

Putting values in the formula:

$Slope\,\,1=\frac{y_2-y_1}{x_2-x_1}$

$Slope\,\,1=\frac{-5-(12)}{7-8}$

$Slope\,\,1=\frac{-5-12}{-1}$

$Slope\,\,1=\frac{-17}{-1}$

$Slope\,\,1=17$

So, Slope of line 1 is 17

Finding Slope of Line 2:

The points are: Line 2: (-9,3)(8,2)

$x_1=-9, y_1=3, x_2=8,y_2=2$

Putting values in the formula:

$Slope\,\,2=\frac{y_2-y_1}{x_2-x_1}$

$Slope\,\,2=\frac{2-(3)}{8-(-9)}$

$Slope\,\,2=\frac{2-3}{8+9}$

$Slope\,\,2=\frac{-1}{17}$

So, Slope of line 2 is $\frac{-1}{17}$

Since $Slope\,\,1=\frac{-1}{slope\,\,2}$

So, Both lines are perpendicular

Keywords: Slope of Lines

Learn more about Slope of lines at:

#learnwithBrainly

7 0

2 years ago

Hisaki is making sugar cookies for a bake sale he has 3 1/2 cups of sugar. The recipe calls for 3/4 cup of sugar for one batch o

Lynna [10]

Answer:

Hisaki can make 4 2/3 batches of cookies with 3 1/2 cups of sugar.

Step-by-step explanation:

Let x be number of batches with 3.5 cups. (I've converted the fractions to decimals to simply calculation. Let me know if you want an explanation where I retain the fractions as-is.)

1 batch = 0.75 cup

x batches = 3.5 cups

-using unitary method-

( 3.5 * 1 ) / 0.75 = x

4.66667 = x

Therefore, number of batches = x = 4 2/3 batches.

7 0

2 years ago

Solve 5^5x=(125)^x+2

miv72 [106K]

Answer:

x = 3

Step-by-step explanation:

5^5x = (5³)^x+2

5^5x = 5^3x+6

5x = 3x + 6

2x = 6

x = 3

5 0

2 years ago

If f(x) = 2x+6 and g(x)= x3 what is (g f)(0)?

GuDViN [60]

Answer:

$27$

Step-by-step explanation:

$g(f(0))=g(2(0)+3)=g(3)=3^3=27$

5 0

1 year ago

Solve each equation and check to make sure both solutions work 2|5x-3|+10=4